Powers of quantum white noise derivatives
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Publication:3190768
DOI10.1142/S0219025714500180zbMath1309.60075OpenAlexW2147332981MaRDI QIDQ3190768
Hafedh Rguigui, Aymen Ettaieb, Habib Ouerdiane
Publication date: 19 September 2014
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025714500180
Infinite-dimensional holomorphy (46G20) White noise theory (60H40) Spaces of linear operators; topological tensor products; approximation properties (46A32) Distributions on infinite-dimensional spaces (46F25)
Related Items (9)
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra ⋮ \(q\)-deformation of the square white noise Lie algebra ⋮ Higher powers of analytical operators and associated ∗-Lie algebras ⋮ Riemann-Liouville and Caputo fractional potentials associated with the number operator ⋮ Quantum fractional Ornstein-Uhlenbeck semigroups and associated potentials ⋮ Generalized Riccati Wick differential equation and applications ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator ⋮ Generalized Bernoulli Wick differential equation
Cites Work
- Annihilation-derivative, creation-derivative and representation of quantum martingales
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- A duality theorem between spaces of holomorphic functions of exponential growth
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- ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION
- RENORMALIZED POWERS OF QUANTUM WHITE NOISE
- RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY
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